Nuclear Chemistry and RadioactivitymediumMCQ SINGLE

Two isotopes 'P' and 'Q' of atomic masses 10 and 20, respectively, are mixed in equal amount, by masNuclear Chemistry and Radioactivity Chemistry Question

Question

Two isotopes 'P' and 'Q' of atomic masses 10 and 20, respectively, are mixed in equal amount, by mass. After 20 day, their mass ratio is found to be 1:4. Isotope 'P' has a half-life of 10 days. The half-life of isotope 'Q' is

Answer: D

💡 Solution & Explanation

Let initial masses be $m_0$. After 20 days (2 half-lives for P), P's remaining mass is $m_0/4$. Mass ratio $P:Q$ becomes $(m_0/4) : m_Q = 1:4$, yielding $m_Q = m_0$. Q's mass did not decrease, meaning it did not decay. Thus, its half-life is infinite. Therefore, correct answer is D.

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